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Finding the Fourth Proportional to 229,005.77, 316,065.77 and 127,064.03

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Solution

The fourth proportional to 229,005.77, 316,065.77 and 127,064.03 is: 175,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,005.77 : 316,065.77 = 127,064.03 : x
  2. Step 2: Convert to fraction form
    229,005.77/316,065.77 = 127,064.03/x
  3. Step 3: Cross multiply
    229,005.77x = 316,065.77 × 127,064.03
  4. Step 4: Simplify right side
    229,005.77x = 40,160,588,265.60
  5. Step 5: Solve for x
    x = 40,160,588,265.60/229,005.77
  6. Step 6: Final answer
    x = 175,369.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.